   Chapter 5.II, Problem 15TIE ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447

#### Solutions

Chapter
Section ### Contemporary Mathematics for Busin...

8th Edition
Robert Brechner + 1 other
ISBN: 9781305585447
Textbook Problem

# Last week Comfy Cozy Furniture sold 520 items. It sold twice as many sofas as chairs and four times as many chairs as tables. How many were sold of each product?

To determine

To calculate: The number of tables, chairs and sofas sold, if Comfy cozy Furniture sells sofas twice as chairs and sells chairs as four times as tables. The total sale is 520 items.

Explanation

Given Information:

Comfy cozy Furniture sells sofas twice as chairs and sells chairs as four times as tables. The total sale is 520 items.

Formula used:

To solve the equation and prove the solution, follow the steps as mentioned below.

Step 1: Understand the problem and write the facts of the equation.

Step2: List the known and the unknows from the problem.

Step3: Write the equation with the help of following table of key word,

 Equal Sign Addition Subtraction Multiplication Division Parentheses Is And Less of Divide Times the quantity of Are Added to Less than Multiply Divided by Was Totals Smaller than Times Divided into Equals The sum of Minus Product of Quotient of Gives Plus Difference Multiplied by Ratio of Giving More than Decreased by Twice Leaves Larger than Reduced by Double Results in Increased by Take away Triple Produces Greater than Loss of At yields exceeds Fewer than @

Step4: Solve the equation by rearrange the unknown values to the left side and known values to the right side of the equal sign.

Step5: Prove the solution by substituting the value obtained from step 4 in the equation formed in step 4 then check the left and right of the equation if, they are equal then the answer is correct.

Calculation:

Underline the keyword by using the table of of key word.

Sale of tables plus sale of chairs plus sale of sofas equals total sale, 520.

Suppose that sale of tables is X.

Consider the sale of chairs is four times as tables, 4X.

Also consider the sale of sofas is twice as chairs, 2(4X).

Also consider the total sale,

X+4X+2(4X)=520

Now solve the equation X+4X+2(4X)=520.

Solve the parenthesis and combine the unknowns on left side,

X+4X+8X=52013X=520

This equation represents that X is multiplied by 13

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